Sangeetha Pulapaka
0

STEP 1: Recall what are polynomials

https://www.mathsisfun.com/algebra/polynomials.html

STEP 2: Recall how to multiply two polynomials

http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/multiplying/multiplying_poly.html

STEP 3: Write the product

Multiply each term in one polynomial by each term in the other polynomial:


So (3x - 4y)(-2x + 5y - 6)

= 3x(-2x + 5y - 6) - 4y(-2x + 5y - 6) 

= -6x2 + 15xy - 18x + 8xy - 20y2 + 24y 

= -6x2 + 23xy - 18x - 20y2 + 24y